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  • A hollow cylindrical pipe has an external radius of 12 cm, an internal radius of 9 cm, and a height of 25 cm. Calculate the volume of the material used in constructing the pipe.

A hollow cylindrical pipe has an external radius of 12 cm, an internal radius of 9 cm, and a height of 25 cm. Calculate the volume of the material used in constructing the pipe.

Answers (1)

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To calculate the volume of the material used in constructing the pipe, the formula is:

Volume of the Material Used = Volume of Outer Cylinder − Volume of Inner Cylinder

$$
\text { Volume }=\pi h\left(R^2-r^2\right)
$$

Here, $R \rightarrow$ external radius $=12 \mathrm{~cm}$
$r \rightarrow$ internal radius  $=9 \mathrm{~cm}$
$h \rightarrow$ height $=25 \mathrm{~cm}$
$$
\begin{aligned}
\text { Volume } & =\pi \times 25 \times\left(12^2-9^2\right) \\
& =\pi \times 25 \times(144-81)=1575 \pi \mathrm{~cm}^3 \\
\text { As } \pi & =3.14, \text { Volume }=1575(3.14)=4948 \mathrm{~cm}^3
\end{aligned}
$$

Posted by

Saniya Khatri

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